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· G D Birkhoff 155 This would mean that only a finite number of the periodic motions miffht exist for any loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5thumbnails3jpg width=140 height=200 adivdivdiv class=ts-pagebutton class=gotoPage data-page=4Page 4button div class=ts-imagea href=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5page4jpg target=_blank img data-url=math-d-birkhoff-155-this-would-mean-that-only-a-finite-number-of-the-periodic-motionshtmlpage=4 data-page=4 class=ts-thumb lazyload alt=Page 4: mathharvardedumathharvardeduarchive118r_spring_05docsbirkhoffpdf · G D Birkhoff 155 This would mean that only a finite number of the periodic motions miffht exist for any loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5thumbnails4jpg width=140 height=200 adivdivdiv class=ts-pagebutton class=gotoPage data-page=5Page 5button div class=ts-imagea href=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5page5jpg target=_blank img data-url=math-d-birkhoff-155-this-would-mean-that-only-a-finite-number-of-the-periodic-motionshtmlpage=5 data-page=5 class=ts-thumb lazyload alt=Page 5: mathharvardedumathharvardeduarchive118r_spring_05docsbirkhoffpdf · G D Birkhoff 155 This would mean that only a finite number of the periodic motions miffht exist for any loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC 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data-page=8 class=ts-thumb lazyload alt=Page 8: mathharvardedumathharvardeduarchive118r_spring_05docsbirkhoffpdf · G D Birkhoff 155 This would mean that only a finite number of the periodic motions miffht exist for any loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5thumbnails8jpg width=140 height=200 adivdivdiv class=ts-pagebutton class=gotoPage data-page=9Page 9button div class=ts-imagea href=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5page9jpg target=_blank img data-url=math-d-birkhoff-155-this-would-mean-that-only-a-finite-number-of-the-periodic-motionshtmlpage=9 data-page=9 class=ts-thumb lazyload alt=Page 9: mathharvardedumathharvardeduarchive118r_spring_05docsbirkhoffpdf · G D Birkhoff 155 This would mean that only a finite number of the periodic motions miffht exist for any loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5thumbnails9jpg width=140 height=200 adivdivdiv class=ts-pagebutton class=gotoPage data-page=10Page 10button div class=ts-imagea href=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5page10jpg target=_blank img data-url=math-d-birkhoff-155-this-would-mean-that-only-a-finite-number-of-the-periodic-motionshtmlpage=10 data-page=10 class=ts-thumb lazyload alt=Page 10: mathharvardedumathharvardeduarchive118r_spring_05docsbirkhoffpdf · G D Birkhoff 155 This would mean that only a finite number of the periodic motions miffht exist for any loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC 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mathharvardedumathharvardeduarchive118r_spring_05docsbirkhoffpdf · G D Birkhoff 155 This would mean that only a finite number of the periodic motions miffht exist for any loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5thumbnails14jpg width=140 height=200 adivdivdiv class=ts-pagebutton class=gotoPage data-page=15Page 15button div class=ts-imagea href=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5page15jpg target=_blank img data-url=math-d-birkhoff-155-this-would-mean-that-only-a-finite-number-of-the-periodic-motionshtmlpage=15 data-page=15 class=ts-thumb lazyload alt=Page 15: mathharvardedumathharvardeduarchive118r_spring_05docsbirkhoffpdf · G D Birkhoff 155 This would mean that only a finite number of the periodic motions miffht exist for any loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5thumbnails15jpg width=140 height=200 adivdivdiv class=ts-pagebutton class=gotoPage data-page=16Page 16button div class=ts-imagea href=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5page16jpg target=_blank img data-url=math-d-birkhoff-155-this-would-mean-that-only-a-finite-number-of-the-periodic-motionshtmlpage=16 data-page=16 class=ts-thumb lazyload alt=Page 16: mathharvardedumathharvardeduarchive118r_spring_05docsbirkhoffpdf · G D Birkhoff 155 This would mean that only a finite number of the periodic motions miffht exist for any loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC 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class=ts-imagea href=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5page18jpg target=_blank img data-url=math-d-birkhoff-155-this-would-mean-that-only-a-finite-number-of-the-periodic-motionshtmlpage=18 data-page=18 class=ts-thumb lazyload alt=Page 18: mathharvardedumathharvardeduarchive118r_spring_05docsbirkhoffpdf · G D Birkhoff 155 This would mean that only a finite number of the periodic motions miffht exist for any loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5thumbnails18jpg width=140 height=200 adivdivdiv class=ts-pagebutton class=gotoPage data-page=19Page 19button div class=ts-imagea href=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5page19jpg target=_blank img 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mathharvardedumathharvardeduarchive118r_spring_05docsbirkhoffpdf · G D Birkhoff 155 This would mean that only a finite number of the periodic motions miffht exist for any loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5thumbnails20jpg width=140 height=200 adivdivdiv class=ts-pagebutton class=gotoPage data-page=21Page 21button div class=ts-imagea href=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5page21jpg target=_blank img data-url=math-d-birkhoff-155-this-would-mean-that-only-a-finite-number-of-the-periodic-motionshtmlpage=21 data-page=21 class=ts-thumb lazyload alt=Page 21: mathharvardedumathharvardeduarchive118r_spring_05docsbirkhoffpdf · G D Birkhoff 155 This would mean that only a finite number of the periodic motions miffht exist for any loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220306015acf3cfd7f8b9a56098ccbf1html5thumbnails21jpg width=140 height=200 adivpGeorge D Birkhoff: On the periodic motions of dynamical systems Acta Mathematica 50 p 359-379 1927pdiv